An empty set becomes an empty set by virtue of its definition which states that it is a set that contains no elements. In other words, it contains nothing, it is empty!
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No, only if both sets are empty. The intersection of disjoint sets is always empty.
empty set or null set is a set with no element.
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Yes, both have cardinality 0.
There is only one empty set - the universal empty set. It is a set that contains no elements. It is usually denoted by { } or the Greek letter phi = Φ (not pi = π).